248892672 has 144 divisors (see below), whose sum is σ = 769459712. Its totient is φ = 69949440.

The previous prime is 248892667. The next prime is 248892689. The reversal of 248892672 is 276298842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359847 + ... + 360537.

Almost surely, 2^248892672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384729856).

248892672 is an abundant number, since it is smaller than the sum of its proper divisors (520567040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248892672 is an equidigital number, since it uses as much as digits as its factorization.

248892672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 770 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 248892672 is about 15776.3326536936. The cubic root of 248892672 is about 629.0290510904.

The spelling of 248892672 in words is "two hundred forty-eight million, eight hundred ninety-two thousand, six hundred seventy-two".